313104200352240 has 240 divisors, whose sum is σ = 1079737177647744. Its totient is φ = 74989541383680.

The previous prime is 313104200352211. The next prime is 313104200352253. The reversal of 313104200352240 is 42253002401313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313104200352198 and 313104200352207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62540434 + ... + 67361073.

Almost surely, 2^{313104200352240} is an apocalyptic number.

313104200352240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313104200352240 is an abundant number, since it is smaller than the sum of its proper divisors (766632977295504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313104200352240 is a wasteful number, since it uses less digits than its factorization.

313104200352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129901628 (or 129901611 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 313104200352240 its reverse (42253002401313), we get a palindrome (355357202753553).

The spelling of 313104200352240 in words is "three hundred thirteen trillion, one hundred four billion, two hundred million, three hundred fifty-two thousand, two hundred forty".